Use the laws of Sines and law of cosines to find missing dimensions
2 answers:
9514 1404 393
Answer:
11. inconsistent information
12. 26°
Step-by-step explanation:
11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)
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12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.
b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871
b ≈ 29.513
Then angle C is found from the Law of Sines.
C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°
Angle C is about 26°.
The second attachment shows the output of a triangle solver.
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Answer:
3. $600,000
Step-by-step explanation:
We have been given that a tenant rented a store to use as a real estate school at a base rent of $1,500 a month. Additionally, the tenant agreed to pay 3% of gross annual sales over $200,000.
Let us find base annual rent.
Let us find the amount of rent paid as 3% of gross annual sales.
Let us find amount of sales over $200,000 by dividing $12000 by 3% or 0.03.
Total sales would be $400,000 plus $200,000.
Therefore, the total sales for that year was $600,000 and 3rd option is the correct choice.